<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.1"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Doxygen: surface/include/pcl/surface/3rdparty/opennurbs/opennurbs_surface.h 源文件</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtreedata.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td id="projectalign" style="padding-left: 0.5em;">
   <div id="projectname">Doxygen
   </div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- 制作者 Doxygen 1.9.1 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "search",false,'搜索','.html');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(function() {
  initMenu('',true,false,'search.php','搜索');
  $(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
  <div id="nav-tree">
    <div id="nav-tree-contents">
      <div id="nav-sync" class="sync"></div>
    </div>
  </div>
  <div id="splitbar" style="-moz-user-select:none;" 
       class="ui-resizable-handle">
  </div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(document).ready(function(){initNavTree('opennurbs__surface_8h_source.html',''); initResizable(); });
/* @license-end */
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div class="header">
  <div class="headertitle">
<div class="title">opennurbs_surface.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//              </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">//   Definition of virtual parametric surface</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_SURFACE_INC_)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#define OPENNURBS_SURFACE_INC_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;pcl/pcl_exports.h&gt;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___curve.html">ON_Curve</a>;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">class </span>ON_SurfaceTree;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">//   Definition of virtual parametric surface</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___mesh.html">ON_Mesh</a>;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___mesh_parameters.html">ON_MeshParameters</a>;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___poly_curve.html">ON_PolyCurve</a>;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___curve_proxy.html">ON_CurveProxy</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___surface.html">ON_Surface</a>;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="class_o_n___surface.html">   44</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___surface.html">ON_Surface</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___geometry.html">ON_Geometry</a></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;{</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___surface.html">ON_Surface</a>);</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="comment">// virtual ON_Object::DestroyRuntimeCache override</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keywordtype">void</span> DestroyRuntimeCache( <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> );</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="comment">// pure virtual class for surface objects</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  <span class="comment">// flags for isoparametric curves</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <span class="comment">// note: odd values are all &quot;x&quot; = constant</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="comment">// and even values &gt; 0 are all &quot;y&quot; = constant</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  <span class="comment">// ON_BrepTrim::m_iso uses these flags</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="keyword">enum</span> ISO </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    not_iso = 0, <span class="comment">// curve is not an isoparameteric curve</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    x_iso   = 1, <span class="comment">// curve is a &quot;x&quot; = constant (vertical) isoparametric</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                 <span class="comment">// curve in the interior of the surface&#39;s domain</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    y_iso   = 2, <span class="comment">// curve is a &quot;y&quot; = constant (horizontal) isoparametric</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                 <span class="comment">// curve in the interior of the surface&#39;s domain</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    W_iso   = 3, <span class="comment">// curve is a &quot;x&quot; = constant isoparametric curve</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                 <span class="comment">// along the west side of the surface&#39;s domain</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    S_iso   = 4, <span class="comment">// curve is a &quot;y&quot; = constant isoparametric curve</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                 <span class="comment">// along the south side of the surface&#39;s domain</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    E_iso   = 5, <span class="comment">// curve is a &quot;x&quot; = constant isoparametric curve</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                 <span class="comment">// along the east side of the surface&#39;s domain</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    N_iso   = 6, <span class="comment">// curve is a &quot;y&quot; = constant isoparametric curve</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                 <span class="comment">// along the north side of the surface&#39;s domain</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    iso_count = 7</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  };</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  <a class="code" href="class_o_n___surface.html">ON_Surface</a>();</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <a class="code" href="class_o_n___surface.html">ON_Surface</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___surface.html">ON_Surface</a>&amp;);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <a class="code" href="class_o_n___surface.html">ON_Surface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___surface.html">ON_Surface</a>&amp;);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">virtual</span> ~<a class="code" href="class_o_n___surface.html">ON_Surface</a>();</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  <span class="comment">// virtual ON_Object::SizeOf override</span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  <span class="comment">// virtual ON_Geometry override</span></div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="keywordtype">bool</span> EvaluatePoint( <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="class_o_n___obj_ref.html">ON_ObjRef</a>&amp; objref, <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; P ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">    Get a duplicate of the surface.</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment">    A duplicate of the surface.  </span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">    The caller must delete the returned surface.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="comment">    For non-ON_SurfaceProxy objects, this simply duplicates the surface using</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="comment">    ON_Object::Duplicate.</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment">    For ON_SurfaceProxy objects, this duplicates the actual proxy surface </span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">    geometry and, if necessary, transposes the result to that</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="comment">    the returned surfaces&#39;s parameterization and locus match the proxy surface&#39;s.</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <a class="code" href="class_o_n___surface.html">ON_Surface</a>* DuplicateSurface() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="comment">// override ON_Object::ObjectType() - returns ON::surface_object</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  ON::object_type ObjectType() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <span class="comment">// virtual ON_Geometry functions</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::HasBrepForm and returns true.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">  Result:</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">    Returns true.</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">    ON_Brep::Create( ON_Surface&amp;* )</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  ON_BOOL32 HasBrepForm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::HasBrepForm.  </span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">    Uses ON_Brep::Create( ON_Surface&amp;* ) to create a brep</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">    form.  The surface is copied for use in the returned</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="comment">    brep.</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment">    brep - [in] if not NULL, brep is used to store the brep</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="comment">        form of the surface.</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">  Result:</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment">    Returns a pointer to on ON_Brep or NULL.  If the brep</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">    parameter is not NULL, then brep is returned if the</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="comment">    surface has a brep form and NULL is returned if the</span></div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="comment">    geometry does not have a brep form.</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">    The caller is responsible for managing the brep memory.</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  <a class="code" href="class_o_n___brep.html">ON_Brep</a>* BrepForm( <a class="code" href="class_o_n___brep.html">ON_Brep</a>* brep = NULL ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="comment">// surface interface</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160; </div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  ON_BOOL32 GetDomain( </div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;         <span class="keywordtype">int</span> dir,              <span class="comment">// 0 gets first parameter, 1 gets second parameter</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;         <span class="keywordtype">double</span>* t0,</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;         <span class="keywordtype">double</span>* t1</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  <span class="keywordtype">bool</span> SetDomain( </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordtype">int</span> dir, <span class="comment">// 0 sets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <a class="code" href="class_o_n___interval.html">ON_Interval</a> domain</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    );</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160; </div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  ON_BOOL32 SetDomain( </div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keywordtype">int</span> dir, <span class="comment">// 0 sets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    <span class="keywordtype">double</span> t0, </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keywordtype">double</span> t1</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    );</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160; </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> Domain(</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordtype">int</span> dir <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    ) <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160; </div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">    Get an estimate of the size of the rectangle that would</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="comment">    be created if the 3d surface where flattened into a rectangle.</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">    width - [out]  (corresponds to the first surface parameter)</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment">    height - [out] (corresponds to the first surface parameter)</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="comment">  Example:</span></div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="comment">          // Reparameterize a surface to minimize distortion </span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="comment">          // in the map from parameter space to 3d.</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment">          ON_Surface* surf = ...;</span></div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="comment">          double width, height;</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="comment">          if ( surf-&gt;GetSurfaceSize( &amp;width, &amp;height ) )</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="comment">          {</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="comment">            srf-&gt;SetDomain( 0, ON_Interval( 0.0, width ) );</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="comment">            srf-&gt;SetDomain( 1, ON_Interval( 0.0, height ) );</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="comment">          }</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  ON_BOOL32 GetSurfaceSize( </div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;      <span class="keywordtype">double</span>* width, </div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      <span class="keywordtype">double</span>* height </div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160; </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  <span class="keywordtype">int</span> SpanCount(</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    <span class="keywordtype">int</span> dir <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    ) <span class="keyword">const</span> = 0; <span class="comment">// number of smooth nonempty spans in the parameter direction</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160; </div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  ON_BOOL32 GetSpanVector( <span class="comment">// span &quot;knots&quot; </span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        <span class="keywordtype">int</span> dir, <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keywordtype">double</span>* span_vector <span class="comment">// array of length SpanCount() + 1 </span></div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        ) <span class="keyword">const</span> = 0; <span class="comment">// </span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  <span class="comment">// If t is in the domain of the surface, GetSpanVectorIndex() returns the </span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  <span class="comment">// span vector index &quot;i&quot; such that span_vector[i] &lt;= t &lt;= span_vector[i+1].</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  <span class="comment">// The &quot;side&quot; parameter determines which span is selected when t is at the</span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  <span class="comment">// end of a span.</span></div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  ON_BOOL32 GetSpanVectorIndex(</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        <span class="keywordtype">int</span> dir , <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        <span class="keywordtype">double</span> t,      <span class="comment">// [IN] t = evaluation parameter</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        <span class="keywordtype">int</span> side,         <span class="comment">// [IN] side 0 = default, -1 = from below, +1 = from above</span></div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        <span class="keywordtype">int</span>* span_vector_index,        <span class="comment">// [OUT] span vector index</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        <a class="code" href="class_o_n___interval.html">ON_Interval</a>* span_interval <span class="comment">// [OUT] domain of the span containing &quot;t&quot;</span></div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  <span class="keywordtype">int</span> Degree( <span class="comment">// returns maximum algebraic degree of any span </span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;                  <span class="comment">// ( or a good estimate if curve spans are not algebraic )</span></div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;    <span class="keywordtype">int</span> dir <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    ) <span class="keyword">const</span> = 0; </div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160; </div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;  <span class="keyword">virtual</span> ON_BOOL32 GetParameterTolerance( <span class="comment">// returns tminus &lt; tplus: parameters tminus &lt;= s &lt;= tplus</span></div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;         <span class="keywordtype">int</span> dir,        <span class="comment">// 0 gets first parameter, 1 gets second parameter</span></div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;         <span class="keywordtype">double</span> t,       <span class="comment">// t = parameter in domain</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;         <span class="keywordtype">double</span>* tminus, <span class="comment">// tminus</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;         <span class="keywordtype">double</span>* tplus   <span class="comment">// tplus</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160; </div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="comment">    Test a 2d curve to see if it is iso parameteric in the surface&#39;s</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="comment">    parameter space.</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="comment">    curve - [in] curve to test</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<span class="comment">    curve_domain = [in] optional sub domain of the curve</span></div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="comment">    Isoparametric status of the curve.</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="comment">    Because it may transpose domains, ON_SurfaceProxy overrides</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="comment">    this function.  All other surface classes just use</span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="comment">    the base class implementation.</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  ISO IsIsoparametric(</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curve,</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* curve_domain = NULL</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160; </div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment">    Test a 2d bounding box to see if it is iso parameteric in the surface&#39;s</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="comment">    parameter space.</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="comment">    bbox - [in] bounding box to test</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="comment">    Isoparametric status of the bounding box.</span></div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="comment">    Because it may transpose domains, ON_SurfaceProxy overrides</span></div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="comment">    this function.  All other surface classes just use</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="comment">    the base class implementation.</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  ISO IsIsoparametric(</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160; </div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;<span class="comment">    Test a surface to see if it is planar.</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;<span class="comment">    plane - [out] if not NULL and true is returned,</span></div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="comment">                  the plane parameters are filled in.</span></div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when checking</span></div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;<span class="comment">    true if there is a plane such that the maximum distance from</span></div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="comment">    the surface to the plane is &lt;= tolerance.</span></div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  ON_BOOL32 IsPlanar(</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160; </div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;<span class="comment">    Determine if the surface is a portion of a sphere.</span></div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;<span class="comment">    sphere - [out] if not NULL and true is returned,</span></div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="comment">      then the sphere definition is returned.</span></div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="comment">    tolerance - [in]</span></div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="comment">      tolerance to use when checking</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="comment">    True if the surface is a portion of a sphere.                   </span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;  <span class="keywordtype">bool</span> IsSphere(</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        <a class="code" href="class_o_n___sphere.html">ON_Sphere</a>* sphere = NULL,</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160; </div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="comment">    Determine if the surface is a portion of a cylinder.</span></div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;<span class="comment">    cylinder - [out] if not NULL and true is returned, </span></div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;<span class="comment">      then the cylinder definition is returned.</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;<span class="comment">    tolerance - [in]</span></div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="comment">      tolerance to use when checking</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="comment">    True if the surface is a portion of a cylinder.                   </span></div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;  <span class="keywordtype">bool</span> IsCylinder(</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;        <a class="code" href="class_o_n___cylinder.html">ON_Cylinder</a>* cylinder = NULL,</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160; </div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;<span class="comment">    Determine if the surface is a portion of a cone.</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;<span class="comment">    cone - [out] if not NULL and true is returned, </span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;<span class="comment">      then the cone definition is returned.</span></div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;<span class="comment">    tolerance - [in]</span></div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;<span class="comment">      tolerance to use when checking</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;<span class="comment">    True if the surface is a portion of a cone.                   </span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;  <span class="keywordtype">bool</span> IsCone(</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        <a class="code" href="class_o_n___cone.html">ON_Cone</a>* cone = NULL,</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160; </div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;<span class="comment">    Determine if the surface is a portion of a torus.</span></div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;<span class="comment">    torus - [out] if not NULL and true is returned,</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;<span class="comment">      then the torus definition is returned.</span></div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;<span class="comment">    tolerance - [in]</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;<span class="comment">      tolerance to use when checking</span></div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;<span class="comment">    True if the surface is a portion of a torus.                   </span></div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;  <span class="keywordtype">bool</span> IsTorus(</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;        <a class="code" href="class_o_n___torus.html">ON_Torus</a>* torus = NULL,</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160; </div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;  ON_BOOL32 IsClosed(   <span class="comment">// true if surface is closed in direction</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;        <span class="keywordtype">int</span>        <span class="comment">// dir  0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160; </div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;  ON_BOOL32 IsPeriodic( <span class="comment">// true if surface is periodic in direction (default is false)</span></div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        <span class="keywordtype">int</span>        <span class="comment">// dir  0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160; </div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;  ON_BOOL32 IsSingular( <span class="comment">// true if surface side is collapsed to a point</span></div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;        <span class="keywordtype">int</span>        <span class="comment">// side of parameter space to test</span></div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;                   <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160; </div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;<span class="comment">    True if the surface defines a solid, like a sphere or torus.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;<span class="comment">    False if the surface does not define a solid, like a plane or cone.</span></div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  <span class="keywordtype">bool</span> IsSolid() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160; </div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;<span class="comment">    Test if a surface parameter value is at a singularity.</span></div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;<span class="comment">    s - [in] surface parameter to test</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;<span class="comment">    t - [in] surface parameter to test</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;<span class="comment">    bExact - [in] if true, test if s,t is exactly at a singularity</span></div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;<span class="comment">      if false, test if close enough to cause numerical problems.</span></div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="comment">    true if surface is singular at (s,t)</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;  <span class="keywordtype">bool</span> IsAtSingularity(</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;    <span class="keywordtype">double</span> s, </div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;    <span class="keywordtype">bool</span> bExact = <span class="keyword">true</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160; </div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;<span class="comment">    Test if a surface parameter value is at a seam.</span></div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="comment">    s - [in] surface parameter to test</span></div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;<span class="comment">    t - [in] surface parameter to test</span></div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;<span class="comment">    0 if not a seam,</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="comment">    1 if s == Domain(0)[i] and srf(s, t) == srf(Domain(0)[1-i], t)</span></div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="comment">    2 if t == Domain(1)[i] and srf(s, t) == srf(s, Domain(1)[1-i])</span></div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="comment">    3 if 1 and 2 are true.</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  <span class="keywordtype">int</span> IsAtSeam(</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;    <span class="keywordtype">double</span> s,</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;    <span class="keywordtype">double</span> t</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;  </div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;<span class="comment">    Search for a derivatitive, tangent, or curvature </span></div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;<span class="comment">    discontinuity.</span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;<span class="comment">    dir - [in] If 0, then &quot;u&quot; parameter is checked.  If 1, then</span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;<span class="comment">               the &quot;v&quot; parameter is checked.</span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;<span class="comment">    c - [in] type of continity to test for.</span></div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="comment">    t0 - [in] Search begins at t0. If there is a discontinuity</span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<span class="comment">              at t0, it will be ignored.  This makes it </span></div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;<span class="comment">              possible to repeatedly call GetNextDiscontinuity</span></div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;<span class="comment">              and step through the discontinuities.</span></div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;<span class="comment">    t1 - [in] (t0 != t1)  If there is a discontinuity at t1 is </span></div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;<span class="comment">              will be ingored unless c is a locus discontinuity</span></div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="comment">              type and t1 is at the start or end of the curve.</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;<span class="comment">    t - [out] if a discontinuity is found, then *t reports the</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;<span class="comment">          parameter at the discontinuity.</span></div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="comment">    hint - [in/out] if GetNextDiscontinuity will be called </span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;<span class="comment">       repeatedly, passing a &quot;hint&quot; with initial value *hint=0</span></div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="comment">       will increase the speed of the search.       </span></div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="comment">    dtype - [out] if not NULL, *dtype reports the kind of </span></div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<span class="comment">        discontinuity found at *t.  A value of 1 means the first </span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;<span class="comment">        derivative or unit tangent was discontinuous.  A value </span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;<span class="comment">        of 2 means the second derivative or curvature was </span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;<span class="comment">        discontinuous.  A value of 0 means teh curve is not</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="comment">        closed, a locus discontinuity test was applied, and</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;<span class="comment">        t1 is at the start of end of the curve.</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only</span></div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;<span class="comment">        when c is ON::G1_continuous or ON::G2_continuous.  If the</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;<span class="comment">        cosine of the angle between two tangent vectors is </span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="comment">        &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used </span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="comment">        only when c is ON::G2_continuous.  If K0 and K1 are </span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="comment">        curvatures evaluated from above and below and </span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;<span class="comment">        |K0 - K1| &gt; curvature_tolerance, then a curvature </span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="comment">        discontinuity is reported.</span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;<span class="comment">    Parametric continuity tests c = (C0_continuous, ..., G2_continuous):</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;<span class="comment">      true if a parametric discontinuity was found strictly </span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="comment">      between t0 and t1. Note well that all curves are </span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment">      parametrically continuous at the ends of their domains.</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment">    Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="comment">      true if a locus discontinuity was found strictly between</span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="comment">      t0 and t1 or at t1 is the at the end of a curve.</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;<span class="comment">      Note well that all open curves (IsClosed()=false) are locus</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;<span class="comment">      discontinuous at the ends of their domains.  All closed </span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="comment">      curves (IsClosed()=true) are at least C0_locus_continuous at </span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="comment">      the ends of their domains.</span></div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  <span class="keywordtype">bool</span> GetNextDiscontinuity( </div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;                  <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;                  ON::continuity c,</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;                  <span class="keywordtype">double</span> t0,</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;                  <span class="keywordtype">double</span> t1,</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;                  <span class="keywordtype">double</span>* t,</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;                  <span class="keywordtype">int</span>* hint=NULL,</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                  <span class="keywordtype">int</span>* dtype=NULL,</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;                  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;                  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;                  ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160; </div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;<span class="comment">    Test continuity at a surface parameter value.</span></div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;<span class="comment">    c - [in] continuity to test for</span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;<span class="comment">    s - [in] surface parameter to test</span></div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;<span class="comment">    t - [in] surface parameter to test</span></div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="comment">    hint - [in] evaluation hint</span></div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="comment">    point_tolerance - [in] if the distance between two points is</span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="comment">        greater than point_tolerance, then the surface is not C0.</span></div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="comment">    d1_tolerance - [in] if the difference between two first derivatives is</span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="comment">        greater than d1_tolerance, then the surface is not C1.</span></div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="comment">    d2_tolerance - [in] if the difference between two second derivatives is</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="comment">        greater than d2_tolerance, then the surface is not C2.</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;<span class="comment">        c is ON::G1_continuous or ON::G2_continuous.  If the cosine</span></div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="comment">        of the angle between two normal vectors </span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;<span class="comment">        is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;<span class="comment">        c is ON::G2_continuous.  If K0 and K1 are curvatures evaluated</span></div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;<span class="comment">        from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;<span class="comment">        then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;<span class="comment">    true if the surface has at least the c type continuity at the parameter t.</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  <span class="keywordtype">bool</span> IsContinuous(</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    ON::continuity c,</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;    <span class="keywordtype">double</span> s, </div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;    <span class="keywordtype">int</span>* hint = NULL,</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;    <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;    <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;    <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;    <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160; </div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  ON_BOOL32 Reverse(  <span class="comment">// reverse parameterizatrion, Domain changes from [a,b] to [-b,-a]</span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// dir  0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;    ) = 0;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160; </div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  ON_BOOL32 Transpose() = 0; <span class="comment">// transpose surface parameterization (swap &quot;s&quot; and &quot;t&quot;)</span></div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160; </div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;  <span class="comment">// simple evaluation interface - no error handling</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>  PointAt( <span class="keywordtype">double</span>, <span class="keywordtype">double</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;  <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a> NormalAt( <span class="keywordtype">double</span>, <span class="keywordtype">double</span> ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  ON_BOOL32 FrameAt( <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v, <a class="code" href="class_o_n___plane.html">ON_Plane</a>&amp; frame) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160; </div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;  ON_BOOL32 EvPoint( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters</span></div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,    <span class="comment">// returns value of surface</span></div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;         <span class="keywordtype">int</span> quadrant = 0,     <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160; </div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;  ON_BOOL32 Ev1Der( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters (s,t)</span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,    <span class="comment">// returns value of surface</span></div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; du,      <span class="comment">// first partial derivatives (Ds)</span></div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; dv,      <span class="comment">// (Dt)</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;         <span class="keywordtype">int</span> quadrant = 0,     <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160; </div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  ON_BOOL32 Ev2Der( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters (s,t)</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,    <span class="comment">// returns value of surface</span></div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; du,      <span class="comment">// first partial derivatives (Ds)</span></div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; dv,      <span class="comment">// (Dt)</span></div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; duu,     <span class="comment">// second partial derivatives (Dss)</span></div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; duv,     <span class="comment">// (Dst)</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; dvv,     <span class="comment">// (Dtt)</span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;         <span class="keywordtype">int</span> quadrant= 0,      <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160; </div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;  ON_BOOL32 EvNormal( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters (s,t)</span></div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,    <span class="comment">// returns value of surface</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; normal,  <span class="comment">// unit normal</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;         <span class="keywordtype">int</span> quadrant = 0,     <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160; </div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;  ON_BOOL32 EvNormal( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters (s,t)</span></div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; normal,  <span class="comment">// unit normal</span></div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;         <span class="keywordtype">int</span> quadrant = 0,     <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160; </div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;  ON_BOOL32 EvNormal( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters (s,t)</span></div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,    <span class="comment">// returns value of surface</span></div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; du,      <span class="comment">// first partial derivatives (Ds)</span></div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; dv,      <span class="comment">// (Dt)</span></div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; normal,  <span class="comment">// unit normal</span></div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;         <span class="keywordtype">int</span> = 0,              <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;         <span class="keywordtype">int</span>* = 0              <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160; </div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;  <span class="comment">// work horse evaluator</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;  ON_BOOL32 Evaluate( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;         <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> v,   <span class="comment">// evaluation parameters</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;         <span class="keywordtype">int</span> num_der,          <span class="comment">// number of derivatives (&gt;=0)</span></div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;         <span class="keywordtype">int</span> array_stride,     <span class="comment">// array stride (&gt;=Dimension())</span></div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;         <span class="keywordtype">double</span>* der_array,    <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;         <span class="keywordtype">int</span> quadrant = 0,     <span class="comment">// optional - determines which quadrant to evaluate from</span></div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;                               <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;                               <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;                               <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;                               <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;                               <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;         <span class="keywordtype">int</span>* hint = 0         <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;                               <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;         ) <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160; </div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;<span class="comment">    Get isoparametric curve.</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;<span class="comment">    dir - [in] 0 first parameter varies and second parameter is constant</span></div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;<span class="comment">                 e.g., point on IsoCurve(0,c) at t is srf(t,c)</span></div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;<span class="comment">                 This is a horizontal line from left to right</span></div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;<span class="comment">               1 first parameter is constant and second parameter varies</span></div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;<span class="comment">                 e.g., point on IsoCurve(1,c) at t is srf(c,t</span></div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;<span class="comment">                 This is a vertical line from bottom to top</span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;<span class="comment">    c - [in] value of constant parameter </span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;<span class="comment">    Isoparametric curve.</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;<span class="comment">    In this function &quot;dir&quot; indicates which direction the resulting</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;<span class="comment">    curve runs.  0: horizontal, 1: vertical</span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;<span class="comment">    In the other ON_Surface functions that take a &quot;dir&quot;</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;<span class="comment">    argument, &quot;dir&quot; indicates if &quot;c&quot; is a &quot;u&quot; or &quot;v&quot; parameter.</span></div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>* IsoCurve(</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;         <span class="keywordtype">double</span> c</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160; </div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;<span class="comment">    Removes the portions of the surface outside of the specified interval.</span></div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;<span class="comment">    dir - [in] 0  The domain specifies an sub-interval of Domain(0)</span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;<span class="comment">                  (the first surface parameter).</span></div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;<span class="comment">               1  The domain specifies an sub-interval of Domain(1)</span></div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;<span class="comment">                  (the second surface parameter).</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;<span class="comment">    domain - [in] interval of the surface to keep. If dir is 0, then</span></div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;<span class="comment">        the portions of the surface with parameters (s,t) satisfying</span></div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;<span class="comment">        s &lt; Domain(0).Min() or s &gt; Domain(0).Max() are trimmed away.</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;<span class="comment">        If dir is 1, then the portions of the surface with parameters</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="comment">        (s,t) satisfying t &lt; Domain(1).Min() or t &gt; Domain(1).Max() </span></div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;<span class="comment">        are trimmed away.</span></div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;  ON_BOOL32 Trim(</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;         );</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160; </div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;<span class="comment">   Description:</span></div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;<span class="comment">     Pure virtual function. Default returns false.</span></div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;<span class="comment">     Where possible, analytically extends surface to include domain.</span></div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;<span class="comment">   Parameters:</span></div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;<span class="comment">     dir - [in] 0  new Domain(0) will include domain.</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="comment">                   (the first surface parameter).</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;<span class="comment">                1  new Domain(1) will include domain.</span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="comment">                   (the second surface parameter).</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;<span class="comment">     domain - [in] if domain is not included in surface domain, </span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;<span class="comment">     surface will be extended so that its domain includes domain.  </span></div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;<span class="comment">     Will not work if surface is closed in direction dir. </span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;<span class="comment">     Original surface is identical to the restriction of the</span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;<span class="comment">     resulting surface to the original surface domain, </span></div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;<span class="comment">   Returns:</span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;<span class="comment">     true if successful.</span></div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  <span class="keywordtype">bool</span> Extend(</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;    );</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160; </div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160; </div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;<span class="comment">    Splits (divides) the surface into two parts at the </span></div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;<span class="comment">    specified parameter.</span></div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;<span class="comment">    dir - [in] 0  The surface is split vertically.  The &quot;west&quot; side</span></div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;<span class="comment">                  is returned in &quot;west_or_south_side&quot; and the &quot;east&quot;</span></div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;<span class="comment">                  side is returned in &quot;east_or_north_side&quot;.</span></div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;<span class="comment">               1  The surface is split horizontally.  The &quot;south&quot; side</span></div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;<span class="comment">                  is returned in &quot;west_or_south_side&quot; and the &quot;north&quot;</span></div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;<span class="comment">                  side is returned in &quot;east_or_north_side&quot;.</span></div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;<span class="comment">    c - [in] value of constant parameter in interval returned</span></div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;<span class="comment">               by Domain(dir)</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;<span class="comment">    west_or_south_side - [out] west/south portion of surface returned here</span></div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;<span class="comment">    east_or_north_side - [out] east/north portion of surface returned here</span></div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;<span class="comment">  Example:</span></div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;<span class="comment">          ON_NurbsSurface srf = ...;</span></div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;<span class="comment">          int dir = 1;</span></div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;<span class="comment">          ON_NurbsSurface* south_side = 0;</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;<span class="comment">          ON_NurbsSurface* north_side = 0;</span></div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;<span class="comment">          srf.Split( dir, srf.Domain(dir).Mid() south_side, north_side );</span></div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;  ON_BOOL32 Split(</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;         <span class="keywordtype">double</span> c,</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;         <a class="code" href="class_o_n___surface.html">ON_Surface</a>*&amp; west_or_south_side,</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;         <a class="code" href="class_o_n___surface.html">ON_Surface</a>*&amp; east_or_north_side</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160; </div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;<span class="comment">    Get a NURBS surface representation of this surface.</span></div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;<span class="comment">    nurbs_surface - [out] NURBS representation returned here</span></div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when creating NURBS</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;<span class="comment">        representation.</span></div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;<span class="comment">    s_subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;<span class="comment">        for this portion of the surface is returned.</span></div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;<span class="comment">    t_subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;<span class="comment">        for this portion of the surface is returned.</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;<span class="comment">    0   unable to create NURBS representation</span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;<span class="comment">        with desired accuracy.</span></div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;<span class="comment">    1   success - returned NURBS parameterization</span></div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;<span class="comment">        matches the surface&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;<span class="comment">    2   success - returned NURBS point locus matches</span></div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;<span class="comment">        the surface&#39;s to the desired accuracy and the</span></div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;<span class="comment">        domain of the NURBS surface is correct.  On</span></div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;<span class="comment">        However, This surface&#39;s parameterization and</span></div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;<span class="comment">        the NURBS surface parameterization may not </span></div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;<span class="comment">        match to the desired accuracy.  This situation</span></div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;<span class="comment">        happens when getting NURBS representations of</span></div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;<span class="comment">        surfaces that have a transendental parameterization</span></div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;<span class="comment">        like spheres, cylinders, and cones.</span></div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;<span class="comment">    This is a low-level virtual function.  If you do not need</span></div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;<span class="comment">    the parameterization information provided by the return code,</span></div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;<span class="comment">    then ON_Surface::NurbsSurface may be easier to use.</span></div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;<span class="comment">    ON_Surface::NurbsSurface</span></div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;  <span class="keywordtype">int</span> GetNurbForm(</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;        <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; nurbs_surface,</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;        <span class="keywordtype">double</span> tolerance = 0.0</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160; </div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160; </div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;<span class="comment">    Is there a NURBS surface representation of this surface.</span></div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;<span class="comment">    0   unable to create NURBS representation</span></div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="comment">        with desired accuracy.</span></div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;<span class="comment">    1   success - NURBS parameterization</span></div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;<span class="comment">        matches the surface&#39;s</span></div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;<span class="comment">    2   success - NURBS point locus matches</span></div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;<span class="comment">        the surface&#39;s and the</span></div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;<span class="comment">        domain of the NURBS surface is correct.  </span></div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;<span class="comment">        However, This surface&#39;s parameterization and</span></div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;<span class="comment">        the NURBS surface parameterization may not </span></div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;<span class="comment">        match.  This situation</span></div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;<span class="comment">        happens when getting NURBS representations of</span></div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;<span class="comment">        surfaces that have a transendental parameterization</span></div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;<span class="comment">        like spheres, cylinders, and cones.</span></div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;<span class="comment">    This is a low-level virtual function. </span></div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;<span class="comment">    ON_Surface::GetNurbForm</span></div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;<span class="comment">    ON_Surface::NurbsSurface</span></div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;  <span class="keywordtype">int</span> HasNurbForm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160; </div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;  <span class="comment">//   Get a NURBS surface representation of this surface.</span></div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;  <span class="comment">//   pNurbsSurface - [in/out] if not NULL, this pNurbsSurface</span></div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;  <span class="comment">//   will be used to store the NURBS representation</span></div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;  <span class="comment">//   of the surface and will be returned.</span></div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;  <span class="comment">//   tolerance - [in] tolerance to use when creating NURBS</span></div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;  <span class="comment">//       surface representation.</span></div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;  <span class="comment">//   s_subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;  <span class="comment">//       for this portion of the surface is returned.</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  <span class="comment">//   t_subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;  <span class="comment">//       for this portion of the surface is returned.</span></div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;  <span class="comment">//   NULL or a NURBS representation of the surface.</span></div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;  <span class="comment">//   See ON_Surface::GetNurbForm for important details about</span></div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;  <span class="comment">//   the NURBS surface parameterization.</span></div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;  <span class="comment">//   ON_Surface::GetNurbForm</span></div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* NurbsSurface(</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;        <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* pNurbsSurface = NULL,</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;        <span class="keywordtype">double</span> tolerance = 0.0,</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* s_subdomain = NULL,</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* t_subdomain = NULL</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160; </div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;  <span class="keywordtype">bool</span> GetSurfaceParameterFromNurbFormParameter(</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;        <span class="keywordtype">double</span> nurbs_s, <span class="keywordtype">double</span> nurbs_t,</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;        <span class="keywordtype">double</span>* surface_s, <span class="keywordtype">double</span>* surface_t</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160; </div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;  <span class="keywordtype">bool</span> GetNurbFormParameterFromSurfaceParameter(</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;        <span class="keywordtype">double</span> surface_s, <span class="keywordtype">double</span> surface_t,</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;        <span class="keywordtype">double</span>* nurbs_s,  <span class="keywordtype">double</span>* nurbs_t</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160; </div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160; </div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;  <span class="comment">// If the geometry surface is modified in any way, then</span></div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;  <span class="comment">// call DestroySurfaceTree().</span></div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;  <span class="keywordtype">void</span> DestroySurfaceTree();</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;};</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160; </div>
<div class="line"><a name="l00851"></a><span class="lineno"><a class="line" href="class_o_n___surface_properties.html">  851</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___surface_properties.html">ON_SurfaceProperties</a></div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;{</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;  <span class="comment">// Surface properties</span></div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;  <span class="comment">// The constructor sets all fields to zero.</span></div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;  <a class="code" href="class_o_n___surface_properties.html">ON_SurfaceProperties</a>();</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160; </div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;<span class="comment">    surface - [in]</span></div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;<span class="comment">      If surface is not null, then it is used to set the surface properties.</span></div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;<span class="comment">      If surface is null, then all surface properties are set to to zero.</span></div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;<span class="comment">    Does not modify the value of m_tag.</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;  <span class="keywordtype">void</span> Set( <span class="keyword">const</span> <a class="code" href="class_o_n___surface.html">ON_Surface</a>* surface );</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160; </div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;  <span class="keywordtype">bool</span> m_bIsSet;           <span class="comment">// True if Set() has been callled with a non-null surface.</span></div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160; </div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;  <span class="keywordtype">bool</span> m_bHasSingularity;  <span class="comment">// true if at least one m_bSingular[] setting is true.</span></div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;  <span class="keywordtype">bool</span> m_bIsSingular[4];   <span class="comment">// m_bSingular[i] = ON_Surface::IsSingular(i)</span></div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160; </div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;  <span class="keywordtype">bool</span> m_bHasSeam;         <span class="comment">// true if at least one m_bClosed[] setting is true.</span></div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;  <span class="keywordtype">bool</span> m_bIsClosed[2];     <span class="comment">// m_bClosed[i] = ON_Surface::IsClosed(i)</span></div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160; </div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;  <span class="keywordtype">bool</span> m_bReserved[7];</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160; </div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> m_domain[2]; <span class="comment">// m_domain[i] = ON_Surface.Domain(i)</span></div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160; </div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> m_reserved[16];</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160; </div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;  <span class="comment">// Last pointer passed to ON_SurfaceProperties::Set().</span></div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;  <span class="keyword">const</span> <a class="code" href="class_o_n___surface.html">ON_Surface</a>* m_surface;</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160; </div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;  <span class="comment">// The constructor sets this value to zero.</span></div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;  <span class="comment">// Nothing in opennurbs modifies or uses this value.</span></div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;  ON__INT_PTR m_tag;</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;};</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160; </div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;<span class="comment">// This stuff is here because of a limitation in the way Microsoft</span></div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;<span class="comment">// handles templates and DLLs.  See Microsoft&#39;s knowledge base </span></div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;<span class="comment">// article ID Q168958 for details.</span></div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;<span class="preprocessor">#pragma warning( push )</span></div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;<span class="preprocessor">#pragma warning( disable : 4231 )</span></div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Surface*&gt;</a>;</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;<span class="preprocessor">#pragma warning( pop )</span></div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160; </div>
<div class="line"><a name="l00904"></a><span class="lineno"><a class="line" href="class_o_n___surface_array.html">  904</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___surface_array.html">ON_SurfaceArray</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Surface*&gt;</a></div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;{</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;  <a class="code" href="class_o_n___surface_array.html">ON_SurfaceArray</a>( <span class="keywordtype">int</span> = 0 );</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;  ~<a class="code" href="class_o_n___surface_array.html">ON_SurfaceArray</a>();</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160; </div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;  ON_BOOL32 Write( <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;  ON_BOOL32 Read( <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; );</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160; </div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;  <span class="keywordtype">void</span> Destroy(); <span class="comment">// deletes surfaces in array and sets count to 0</span></div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160; </div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;  ON_BOOL32 Duplicate( <a class="code" href="class_o_n___surface_array.html">ON_SurfaceArray</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// operator= copies the pointer values</span></div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;                                     <span class="comment">// duplicate copies the surfaces themselves</span></div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;};</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160; </div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160; </div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclass_o_n__3d_point_html"><div class="ttname"><a href="class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:419</div></div>
<div class="ttc" id="aclass_o_n__3d_vector_html"><div class="ttname"><a href="class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:953</div></div>
<div class="ttc" id="aclass_o_n___binary_archive_html"><div class="ttname"><a href="class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:732</div></div>
<div class="ttc" id="aclass_o_n___bounding_box_html"><div class="ttname"><a href="class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:26</div></div>
<div class="ttc" id="aclass_o_n___brep_html"><div class="ttname"><a href="class_o_n___brep.html">ON_Brep</a></div><div class="ttdef"><b>Definition:</b> opennurbs_brep.h:1571</div></div>
<div class="ttc" id="aclass_o_n___cone_html"><div class="ttname"><a href="class_o_n___cone.html">ON_Cone</a></div><div class="ttdef"><b>Definition:</b> opennurbs_cone.h:27</div></div>
<div class="ttc" id="aclass_o_n___curve_html"><div class="ttname"><a href="class_o_n___curve.html">ON_Curve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:89</div></div>
<div class="ttc" id="aclass_o_n___curve_proxy_html"><div class="ttname"><a href="class_o_n___curve_proxy.html">ON_CurveProxy</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curveproxy.h:39</div></div>
<div class="ttc" id="aclass_o_n___cylinder_html"><div class="ttname"><a href="class_o_n___cylinder.html">ON_Cylinder</a></div><div class="ttdef"><b>Definition:</b> opennurbs_cylinder.h:29</div></div>
<div class="ttc" id="aclass_o_n___geometry_html"><div class="ttname"><a href="class_o_n___geometry.html">ON_Geometry</a></div><div class="ttdef"><b>Definition:</b> opennurbs_geometry.h:37</div></div>
<div class="ttc" id="aclass_o_n___interval_html"><div class="ttname"><a href="class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:49</div></div>
<div class="ttc" id="aclass_o_n___mesh_html"><div class="ttname"><a href="class_o_n___mesh.html">ON_Mesh</a></div><div class="ttdef"><b>Definition:</b> opennurbs_mesh.h:990</div></div>
<div class="ttc" id="aclass_o_n___mesh_parameters_html"><div class="ttname"><a href="class_o_n___mesh_parameters.html">ON_MeshParameters</a></div><div class="ttdef"><b>Definition:</b> opennurbs_mesh.h:25</div></div>
<div class="ttc" id="aclass_o_n___nurbs_surface_html"><div class="ttname"><a href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:65</div></div>
<div class="ttc" id="aclass_o_n___obj_ref_html"><div class="ttname"><a href="class_o_n___obj_ref.html">ON_ObjRef</a></div><div class="ttdef"><b>Definition:</b> opennurbs_objref.h:168</div></div>
<div class="ttc" id="aclass_o_n___plane_html"><div class="ttname"><a href="class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:21</div></div>
<div class="ttc" id="aclass_o_n___poly_curve_html"><div class="ttname"><a href="class_o_n___poly_curve.html">ON_PolyCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_polycurve.h:38</div></div>
<div class="ttc" id="aclass_o_n___simple_array_html"><div class="ttname"><a href="class_o_n___simple_array.html">ON_SimpleArray&lt; ON_Surface * &gt;</a></div></div>
<div class="ttc" id="aclass_o_n___sphere_html"><div class="ttname"><a href="class_o_n___sphere.html">ON_Sphere</a></div><div class="ttdef"><b>Definition:</b> opennurbs_sphere.h:23</div></div>
<div class="ttc" id="aclass_o_n___surface_array_html"><div class="ttname"><a href="class_o_n___surface_array.html">ON_SurfaceArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:905</div></div>
<div class="ttc" id="aclass_o_n___surface_html"><div class="ttname"><a href="class_o_n___surface.html">ON_Surface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:45</div></div>
<div class="ttc" id="aclass_o_n___surface_properties_html"><div class="ttname"><a href="class_o_n___surface_properties.html">ON_SurfaceProperties</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:852</div></div>
<div class="ttc" id="aclass_o_n___torus_html"><div class="ttname"><a href="class_o_n___torus.html">ON_Torus</a></div><div class="ttdef"><b>Definition:</b> opennurbs_torus.h:30</div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  <ul>
    <li class="navelem"><a class="el" href="dir_3eca864c65823895cb378d0a822acbce.html">surface</a></li><li class="navelem"><a class="el" href="dir_3f3c04b1471cb7c6ed159d82d5dbd2e2.html">include</a></li><li class="navelem"><a class="el" href="dir_c085629c2ec3cefd048e595d13476517.html">pcl</a></li><li class="navelem"><a class="el" href="dir_b042217bdec4068b97400d7bbc365877.html">surface</a></li><li class="navelem"><a class="el" href="dir_f289cf8a53139bf575d4708d4be18702.html">3rdparty</a></li><li class="navelem"><a class="el" href="dir_3e104991de59e163b14eb89d81d44a83.html">opennurbs</a></li><li class="navelem"><b>opennurbs_surface.h</b></li>
    <li class="footer">制作者 <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
  </ul>
</div>
</body>
</html>
